105540166605 has 32 divisors (see below), whose sum is σ = 173045150208. Its totient is φ = 54895449600.

The previous prime is 105540166601. The next prime is 105540166621. The reversal of 105540166605 is 506661045501.

It is not a de Polignac number, because 105540166605 - 2² = 105540166601 is a prime.

It is a super-2 number, since 2×105540166605² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105540166601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764540 + ... + 1823370.

It is an arithmetic number, because the mean of its divisors is an integer number (5407660944).

Almost surely, 2^105540166605 is an apocalyptic number.

105540166605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105540166605 is a deficient number, since it is larger than the sum of its proper divisors (67504983603).

105540166605 is a wasteful number, since it uses less digits than its factorization.

105540166605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61797.

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 105540166605 in words is "one hundred five billion, five hundred forty million, one hundred sixty-six thousand, six hundred five".